SOLUTION: Andrew is 87 years younger than Katie. 9 years ago, Katie's age was 4 times Andrew's age. How old is Andrew now?

Algebra.Com
Question 1017205: Andrew is 87 years younger than Katie. 9 years ago, Katie's age was 4 times Andrew's age. How old is Andrew now?

Found 2 solutions by stanbon, macston:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Andrew is 87 years younger than Katie. 9 years ago, Katie's age was 4 times Andrew's age. How old is Andrew now?
----------
a = k-87
k-9 = 4(a-9)
-----
Substitute for "k" and solve for "a"::
(a+87-9) = 4a-36
-------
78 = 3a - 36
------
3a = 114
a = 38 (Andrew's age now)
---------------
Cheers,
Stan H.
------------

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
A=Andrew's age; K=Kati's age=A+87yrs
.
K-9=4(A-9)
(A+87)-9=4A-36
A+78=4A-36
A+114=4A
114=3A
38=A
.
ANSWER; Andrew is 38 years old.
.
CHECK:
K=A+87=38+87=125
.
K-9=4(A-9)
125-9=4(38-9)
116=4(29)
116=116
.

RELATED QUESTIONS

Andrew’s grandfather’s age is twelve times Andrew’s age. If Andrew’s grandfather was 55... (answered by ankor@dixie-net.com)
Ryan is 44 years younger than Katie. 6 years ago, Katie's age was 3 times Ryan's age. How (answered by greenestamps)
Andrew's grandfather's age is eight times Andrew's age. If Andrew's grandfather was 56... (answered by TimothyLamb)
Corey is 87 years younger than Ashton. 7 years ago, Ashton's age was 4 times Corey's age. (answered by josgarithmetic)
Julian is 87 years younger than Monique. 7 years ago, Monique's age was 4 times Julian's... (answered by josgarithmetic)
when maria was 6 years old. Andrew was twice her age, maria is 9 years old now. How old... (answered by josgarithmetic,ikleyn,MathTherapy)
Kenny is 8 years older that Andrew. Tim is 3 times as old as Andrew. Camron is 5 years... (answered by Alan3354)
1. Four years ago, Katie was twice as old as Anne was then. In 6 years, Anne will be... (answered by ankor@dixie-net.com)
Jamaal is 96 years younger than Himari. 9 years ago, Himari's age was 4 times Jamaal's... (answered by josgarithmetic,ikleyn)